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Finding the Fourth Proportional to 231.26, 319.04 and 165.85

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Solution

The fourth proportional to 231.26, 319.04 and 165.85 is: 228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.26 : 319.04 = 165.85 : x
  2. Step 2: Convert to fraction form
    231.26/319.04 = 165.85/x
  3. Step 3: Cross multiply
    231.26x = 319.04 × 165.85
  4. Step 4: Simplify right side
    231.26x = 52,911.16
  5. Step 5: Solve for x
    x = 52,911.16/231.26
  6. Step 6: Final answer
    x = 228.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.